Two cars A and B are moving with a speed of 15ms^ - 1 and 5ms^ - 1...

Two cars

A

and

B

are moving with a speed of

15ms^{- 1}

and

5ms^{- 1}

and acceleration of the cars are

1ms^{- 2}

and

6ms^{- 2}

respectively. Then the minimum separation between them is
Two cars A and B are moving with a speed of 15ms^ - 1 and 5ms^ - 1 and acceleration of the cars are 1ms^ - 2 and 6ms^ -

Two cars A and B are moving with a speed of 15ms^ - 1 and 5ms^ - 1 and acceleration of the cars are 1ms^ - 2 and 6ms^ -

Options

A $5m$
B $10m$
CZero
DNone

Correct answer

B. $10m$

Step-by-step solution

${v}_{AB} = 10ms^{- 1}, {a}_{AB} = - 5ms^{- 2}$
${s}_{AB} = 10t - \dfrac{5}{2}t^{2}$

Minimum displacement of A w.r.t. B
${s}_{A{B}_\min}$ is at $t = \dfrac{10}{5} = 2$
Minimum separation $= 20 - 10 = 10m$

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